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Dynamic Problem Concerning Mode I Semi-Infinite Crack Propagation

Published online by Cambridge University Press:  29 January 2013

N. C. Lü,
Y. H. Cheng,
X. G. Li and
J. Cheng
N. C. Lü*
Affiliation:
School of Material Science and Engineering, Shenyang Ligong University, Shenyang 110168, P. R., ChinaDepartment of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R., China
Y. H. Cheng
Affiliation:
Department of Civil Engineering, Northeastern University, Shenyang 110006, P. R., China
X. G. Li
Affiliation:
Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R., China
J. Cheng
Affiliation:
Department of Astronautics and Mechanics, Harbin Institute of Technology, Harbin 150001, P. R., China
*
*Corresponding author (lnc_65@163.com)

Abstract

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By the approaches of the theory of complex functions, dynamic problem concerning mode I semi-infinite crack propagation was studied. Analytical solutions are very easily obtained by application of the measures of self-similar functions. The problems researched can be changed into Riemann-Hilbert problems and analytical solutions to semi-infinite crack under the condition of impulse loads and increasing loads Pt located at the origin of the coordinates, respectively, are attained.

Keywords

Complex functionsMode I semi-infinite crackDynamic problemSelf-similar functionsAnalytical solutions

Information

Type
Articles
Information
Journal of Mechanics , Volume 29 , Issue 2 , June 2013, pp. 309 - 318
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2013

References

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